398224 has 10 divisors (see below), whose sum is σ = 771590. Its totient is φ = 199104.

The previous prime is 398219. The next prime is 398227. The reversal of 398224 is 422893.

It can be written as a sum of positive squares in only one way, i.e., 211600 + 186624 = 460^2 + 432^2 .

It is a junction number, because it is equal to n+sod(n) for n = 398192 and 398201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12429 + ... + 12460.

It is an arithmetic number, because the mean of its divisors is an integer number (77159).

2³⁹⁸²²⁴ is an apocalyptic number.

It is an amenable number.

398224 is a deficient number, since it is larger than the sum of its proper divisors (373366).

398224 is a wasteful number, since it uses less digits than its factorization.

398224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24897 (or 24891 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 398224 is about 631.0499187861. The cubic root of 398224 is about 73.5714208511.

The spelling of 398224 in words is "three hundred ninety-eight thousand, two hundred twenty-four".